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Finding the Third Proportional to 137,462 and 297,388

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Solution

The third proportional to 137,462 and 297,388 is: 643,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,462 : 297,388 = 297,388 : x
  2. Step 2: Convert to fraction form
    137,462/297,388 = 297,388/x
  3. Step 3: Cross multiply
    137,462x = 297,388 × 297,388
  4. Step 4: Simplify right side
    137,462x = 88,439,622,544
  5. Step 5: Solve for x
    x = 88,439,622,544/137,462
  6. Step 6: Final answer
    x = 643,375.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.